It was only about fifty years later, and twenty years after Rømers death, that the British astronomer James Bradleys measurements could definitively prove that the speed of light was indeed finite; it was 1727.

That was some bad writing. However, given the proper scale for distance and time, 1727 would be the correct answer! (On a complete side note, the speed of light is 173.1 Astronomical Units/day, which is ~1/10th of 1727. Perhaps they were only off by a decimal point).